Given:
Total number of questions = 6
Choice for each question (in MCQ) = 4
Assuming that no questions are left unanswered.
To find:
The total number ways to answer the quiz, assuming that no questions are left unanswered.
Solution:
Here, Number of ways to answer each question = 4
To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.
Total number of ways to answer six-question quiz with 4-choice multiple choice questions is
[tex]4\times 4\times 4\times 4\times 4\times 4=4096[/tex]
Therefore, the required number of ways is 4096.
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
We have,
For each question on the quiz, there are 4 choices.
Since each question is independent of the others, the total number of ways to answer the entire quiz can be found by multiplying the number of choices for each question together.
There are 6 questions with 4 choices each.
4 choices for the 1st question * 4 choices for the 2nd question * 4 choices for the 3rd question * 4 choices for the 4th question * 4 choices for the 5th question * 4 choices for the 6th question
= [tex]4^6[/tex]
Using exponential notation,
[tex]4^6[/tex] = 4 * 4 * 4 * 4 * 4 * 4 = 4096
Therefore,
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
#3: Create an equation that include at least 3 steps and the
distributive property that has a solution of 6.
What's 2|–9| – |–2|?
A) –20
B) 16
C) –18
D) 20
América is not a country
3 message Bill weighs 120 pounds and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month. How many months will it take for Bill to Weigh the same as Phil? Write an equation to solve this problem
Answer:
6 months
Step-by-step explanation:
120 +10x = 204 - 4x
10x + 4x = 204 - 120
14x = 84
x = 6
John bought 5 notebooks for a total of $10. Which equation could be used to calculate the cost of the notebooks, y, based on the number
of notebooks purchased, X?
I'm pretty sure it's B.
Let x = the length of the shorter piece of rope. x + (1/2)x = 24 (3/2)x = 24 (2/3)(3/2)x = (2/3)(24) x = 16 The lengths of rope are 16 feet and 8 feet. A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply.
Answer:
Step-by-step explanation:
Given the question
A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.
Options
The stated solution is correct (lengths of 16 feet and 8 feet).
Based on the way the variable is defined, the equation should be x + 2x = 24.
The equation is written correctly, but there is an error in solving the equation.
The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
2
Let the length of one piece be x (shorter piece) and the other be y.
If the rope is cut into two pieces and 24ft long, then;
x+y = 24.......... 1
If one piece is half the length of the other, then x = y/2..... 2
substitute equation 2 into 1
y/2 + y = 24
take the LCM
y+2y/2 = 24
3y/2 = 24
cross multiply
3y = 48
Divide both sides by 3;
3y/3 = 48/3
y = 16 feet
Since x = y/2
x = 16/2
x = 8 feet
Based on the calculation above, I can conclude that;
- The student stated solution is correct (lengths of 16 feet and 8 feet)
- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
- Based on the way the variable is defined, the equation should be x + 2x = 24.
Given f(x) = (2 - x)}, what is the value of f(18)?
Solve the inequality.
||2x−1|−2|>3
Answer:
x > 3
Step-by-step explanation:
3.The snow starts at a depth of 10 inches and melts to 2 inches over the span of 4 hours. Determine the rate of change over the interval 0≤x≤4
A.4 inches per hour
B.2 inches per hour
C.8 inches per hour
D.12 inch per hour
4.The population in a neighborhood increased from 120 to 156 people from 1990 to 1994. Find the rate of change over the interval 1990≤x≤1994.
A.1/9 of a person per year
B.9 people per year
C.36 people per year
D.4 people per year
5.The temperature increases from 60 degrees Fahrenheit to 84 degrees Fahrenheit from 8 in the morning to 12 in the afternoon. Find the rate of change over the interval 8≤x≤12
A.16 of a degree Fahrenheit per hour
B.4 degrees Fahrenheit per hour
C.6 degrees Fahrenheit per hour
D.24 degrees Fahrenheit per hour
Step-by-step explanation:
#4: 156-120= 36
36÷4=9
Answer: B; 9 people per year
Step-by-step explanation:
#5: 84-60=24
24÷4=6
Answer: C; 6 degrees Fahrenheir per hour
Write rational number -3/8 as the quotient of two integers in two different ways I think the answer is
3/-8 and -3/8
Answer:
sor
Step-by-step explanation:
what is 0.4repeating as a fraction?
Answer:
11/25
Step-by-step explanation:
7. Cassidy's family is driving home
from vacation at an average speed
of 55 mph. After 2 hours they
are 110 miles from home. What
is an equation in point-slope that
represents their distance from
home, y, after x hours?
Answer:
The equation in a point-slope form that represents their distance from
home, y miles, after x hours, is y - 110 = 55(x - 2)
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y_{1}=m(x-x_{1})[/tex] , where
m is the slope of the line (average)
[tex](x_{1},y_{1})[/tex] is a point on the line
→ The family is driving home from vacation at an average speed
of 55 miles per hour
∴ m = 55
→ After 2 hours they are 110 miles from home
∵ x is the number of hours
∵ y is the distance in miles after x hours
∴ [tex]x_{1}[/tex] = 2
∴ [tex]y_{1}[/tex] = 110
→ Substitute these values in the form of the equation above
∴ y - 110 = 55(x - 2)
The equation in a point-slope form that represents their distance from
home, y miles, after x hours is y - 110 = 55(x - 2)
Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 72 days. Provide 3 decimal places and a label in your answer.
Answer:
The amount of Polonium-210 left in his body after 72 days is 6.937 μg.
Step-by-step explanation:
The decay rate of Polonium-210 is the following:
[tex] N(t) = N_{0}e^{-\lambda t} [/tex] (1)
Where:
N(t) is the quantity of Po-210 at time t =?
N₀ is the initial quantity of Po-210 = 10 μg
λ is the decay constant
t is the time = 72 d
The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.
First, we need to find the decay constant:
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex] (2)
Where t(1/2) is the half-life of Po-210 = 138.376 days
By entering equation (2) into (1) we have:
[tex] N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g [/tex]
Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.
I hope it helps you!
i'll make the person who solves this the brainlest Evaluate the expression:
-2 1/4 + 8 + (- 1 3/4 ) - 1
Answer:
3
Step-by-step explanation:
Convert to improper fraction then do the math from there
Hi :) how to do part 4?
Answer:
15(iv) 68 units²
Step-by-step explanation:
Please see the attached picture for full solution. (Pictures 1 &2)
*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)
can yall help me plz
Answer:
C. 1/4
Step-by-step explanation:
up 1, right 4
Help me and explain please I’m struggling
what is the largest exponent in a polynomial
degree
The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.
NEED HELP ASAP TYSMMM
Answer: 2
Step-by-step explanation:
they already gave you what x is, all you have to do is plug x in where you see it.
(3)^2 - 5(3) + 8
9 - 15 + 8
Calculate the following using the Density Formula: What is the volume of the Ms. Gonsalez's phone that he dropped in his sink, if the mass of the phone is 12.4 g and the density is 6.2 g/mL? *
Answer:
2 mL³
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume.
Plug in the mass and density, then solve for the volume:
D = m/v
6.2 = 12.4/v
6.2v = 12.4
v = 2
So, the volume is 2 mL³
Four student are each trying to raise the same amount of money for a class trip. The table below shows how much of each student's goal has been met.
Answer:
the answer is 5/8, 65%, 2/3, 0.7
Step-by-step explanation:
What is the slope? The y-intercept? Write the y-intercept as a coordinate.
Answer:
The y intercept is (0,-3) The slope is 7/1 i think
Please help asap!!!!!!!!!
Exact answer is 29415.5844
However if you round the multiplier it is
2.942x10^4 or $29420
Step-by-step explanation:
Plug it in a calculator. Divide debt by population.
Find the midpoint between (1 , -2) and (-10 , 1)
Answer:
5555665555555555555
Answer:
[tex](\frac{9}{2},-\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
The scale of a set of architectural drawings for a house is 1/2 inch = 1 1/2 feet. A drawing shows a model of a room that is 4 inches long. How would you find the actual length of the room? (In other words, how much you find the length, in feet, of the room in real life?)
6(−3−x)−2x=14 What is the value of x?
Answer: x=−4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
You are building a shelf that fits in a corner. In the figure, the entire shelf is 2 points ABC. If each unit in the coordinate plane represents one inch, then the
AREA of the shelf is
square inches. A(20,30) B(20,10) C(10,10)
Answer:
100 square inches
Step-by-step explanation:
The width of the shelf is BC = 20 - 10 = 10 inches.
The height of the shelf is AB = 30 - 10 = 20 inches.
The area of a triangle with these dimensions is ...
A = (1/2)bh
A = (1/2)(10 in)(20 in) = 100 in^2
The area of the shelf is 100 square inches.
please help quickly ill give brainliest if its correct
2p10
Step-by-step explanation:
What is 75% of 30 menutes
Answer:
22.5
Step-by-step explanation:
:)
if you travel 480 miles at an average speed of 40 miles per hour for how many hours were you traveling
Answer:
The answer is 12 hoursStep-by-step explanation:
To find the time taken for an object to travel given it's velocity and distance covered we use the formula
[tex]time = \frac{distance}{speed} \\ [/tex]
From the question
distance = 480 miles
speed = 40 mi/h
So we have
[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]
We have the final answer as
12 hoursHope this helps you